Group congruences on eventually regular semigroups. (English) Zbl 0665.20032

A semigroup is eventually regular if a power of each element is regular. P. M. Edwards studied congruences on such semigroups [Bull. Aust. Math. Soc. 28, 23-38 (1983; Zbl 0511.20044)]. It is shown here that, as for regular semigroups, the group congruences are determined by the full, self-conjugate closed subsemigroups. From this it follows that various interesting properties of group congruences on regular semigroups generalize to eventually regular semigroups.
Reviewer: P.R.Jones


20M10 General structure theory for semigroups
20M15 Mappings of semigroups


Zbl 0511.20044